1. Master Zhang processed one part in the morning, with more than X parts in the afternoon and () parts in the afternoon.
2, the original canteen 500 kg of rice, eat bag A, 50 kg per bag, and there is () kg of rice left.
3. The number of people in the reading group is 2.4 times that of the science and technology group. There are X people in the science and technology group, and each of them has () people. The science and technology group has fewer () people than the reading group.
4. Fill in the appropriate unit name in brackets: ① The volume of a piece of chalk is about 9 (); ② The volume of a bottle of Shu Lei shampoo is150 (); ③ One classroom accounts for about 50 (); (4) Large trucks for engineering use are 5 ().
The length of a cuboid is 8 cm, and the width and height are 4 cm. The sum of the sides of this cuboid is () cm, the surface area is () cm 2, and the volume is () cm 3.
6. The sum of the sides of a cube is 96 decimeters, the surface area is () square decimeters, and the volume is () cubic decimeters.
7, a piece of wood length 1 m, cross-sectional area of 50 square centimeters, the volume of this piece of wood is () cubic centimeters.
8. The circumference of an isosceles triangle is 38 cm, the length of its base is 10 cm, and one of its waists is () cm.
9. Xiao Gang and Xiao Qiang are on the 400-meter circular runway, traveling in opposite directions from the same place. Xiao Gang runs 4.5 meters per second, and Xiao Qiang runs 5.5 meters per second. They meet for the first time () seconds after starting.
10, the volume of a cuboid is 192 cubic centimeters, the height is 6 centimeters, and the bottom area is () square centimeters.
1 1. Make a cuboid with three cubes, and the side length is 1 decimeter. The surface area of this cuboid is () square decimeter and the volume is () cubic decimeter.
2. True or False: (6 points)
1, the number A is 180, which is 20 times more than the number B. To find the number B, the equation listed is: 4x+20 = 180 ().
2. Because the calculation method of volume is the same as volume, volume is volume. ( )
3. If 4x+1.5 =1.5, then 6-2x = 1 ().
The side length of a cube is 6 cm, and its surface area is equal to its volume. ( )
5. If two adjacent faces are squares, then a cuboid is a cube. ( )
6. Nine small cubes of 1 cm can make a big cube. ( )
Three. Multiple choice questions: (5 points)
1, the circumference of the bottom of the cube is12cm, and its volume is ().
A, 9 cubic centimeters b, 27 cubic centimeters c, 36 cubic centimeters d, 48 cubic centimeters
2. The length and width of a cuboid are expanded by 3 times, and the volume of this cuboid is expanded by () times under the condition of constant height.
A, 3 times b, 6 times c, 9 times d, 27 times
3. In the picture below, what can be folded into a cube with dotted lines is ().
4.x = 12 is the solution of the following equation ().
a、3x+8 = 23 B、2x-4 = 20
c、4x-2.4x = 6.4 D、20x÷4 = 10
5. A cuboid box with a length of 6 decimeters, a width of 4 decimeters and a height of 5 decimeters can hold at most () cubes with a length of 2 decimeters.
a、 15 B、 14 C、 13 D、 12
Fourth, the calculation questions:
1, solving equation: (15 minutes)
2+25x = 122 4x-2.5 = 5.5 3(x-0.2)= 9.6
x-0.85 x = 6 0.6x+x = 6.72 5 x÷4 = 1.35
2. Look at the picture equation and find the solution of the equation: (6 points)
( 1) x x x 15 (2) x x x
4.55
105
××××
3. Solve the following problems by solving equations: (6 points)
(1)9 A number greater than 2.5 times a number is 13. Find this number.
(2) Find a number whose 1.8 times is less than its 2 times 1.96.
4. Calculate the surface area and volume of the cuboid or cube below: (8 points)
(1) The length, width and height of a cuboid are 5 decimeters, 4.5 decimeters and 2 decimeters respectively.
(2) The side length of a cube is 6 cm.
Verb (abbreviation of verb) problem solving: (Problem 1-3 is solved by equation) (5 points ×7=35 points)
1, Xiao Ming forms a rectangle with a 96 cm long iron wire. How many centimeters is the length three times the width?
The price of a match football is more expensive than that of a training football. 76 yuan, it is known that the price of a match football is three times that of a training football. What are the prices of these two kinds of football?
3. The commemorative photo album printed by the school is * * * 2,850 yuan, of which the plate-making fee is 800 yuan and the rest is printing fee. Printing cost of each commemorative photo album 12.5 yuan. How many commemorative photo albums have been printed by the school?
4.A car and B car are driving in the same direction at the same time in a certain place. Car A runs at a speed of 40 kilometers per hour. Three hours later, car A is 30 kilometers behind car B. How many kilometers does car B travel every hour?
5. Forging a cubic blank with a side length of 0.6 meters into rectangular steel with a cross section of 0.09 square meters. How long is forged steel?
6. Make 10 cuboid ventilation duct, each section is 8cm long, 4cm wide and 3cm high. How many square meters of iron sheet do you need at least?
7. A rectangular swimming pool, 50 meters long, 30 meters wide and 2 meters deep. How many square meters is this swimming pool? (2) How many square meters of cement should be plastered around the swimming pool? (3) How many cubic meters of water does it take to fill this swimming pool?
Six, thinking questions: (10)
In a glass jar with a length of 50 cm and a width of 40 cm, put a cubic iron block with a length of 20 cm. At this time, the water depth is 25 cm. If you take the iron out of the jar, what is the original water depth?